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4499669944 = 23711113127509
BaseRepresentation
bin1000011000011001…
…11000001110111000
3102121120220220202101
410030030320032320
533203403414234
62022255313144
7216335364160
oct41414701670
912546826671
104499669944
1119a9a456a0
12a56b1b7b4
135692bc4c3
143098615a0
151b5075814
hex10c3383b8

4499669944 has 128 divisors (see below), whose sum is σ = 10716364800. Its totient is φ = 1720535040.

The previous prime is 4499669917. The next prime is 4499669947.

4499669944 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4499669947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8839962 + ... + 8840470.

It is an arithmetic number, because the mean of its divisors is an integer number (83721600).

Almost surely, 24499669944 is an apocalyptic number.

4499669944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4499669944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358182400).

4499669944 is an abundant number, since it is smaller than the sum of its proper divisors (6216694856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4499669944 is a wasteful number, since it uses less digits than its factorization.

4499669944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 64.

The square root of 4499669944 is about 67079.5791877081. The cubic root of 4499669944 is about 1650.9232597234.

The spelling of 4499669944 in words is "four billion, four hundred ninety-nine million, six hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 127 154 226 254 308 452 508 509 616 791 889 904 1016 1018 1243 1397 1582 1778 2036 2486 2794 3164 3556 3563 4072 4972 5588 5599 6328 7112 7126 8701 9779 9944 11176 11198 14252 14351 17402 19558 22396 28504 28702 34804 39116 39193 44792 57404 57517 64643 69608 78232 78386 100457 114808 115034 129286 156772 157861 200914 230068 258572 313544 315722 401828 402619 452501 460136 517144 631444 632687 711073 803656 805238 905002 1105027 1262888 1265374 1422146 1610476 1810004 2210054 2530748 2844292 3220952 3620008 4420108 4428809 4977511 5061496 5688584 7304659 8840216 8857618 9955022 14609318 17715236 19910044 29218636 35430472 39820088 51132613 58437272 80351249 102265226 160702498 204530452 321404996 409060904 562458743 642809992 1124917486 2249834972 4499669944